he/they
tarantino at irif dot fr
Office 4060
8 place Aurélie Nemours
75013 Paris
I am a first-year PhD student in Theoretical Computer Science at IRIF, under the supervision of Sam van Gool. My main interest is categorical logic and duality theory: a central objective of my research project is to understand the relationship between ultracategories and polyadic spaces as semantic duals of first-order theories, with applications to topos theory and intuitionistic model theory.
Before that, I have obtained a Master’s degree in Mathematics at the Università degli Studi di Milano Statale, but I spent the second year abroad at the University of Amsterdam with a foot in the MasterMath program and the other in the Master of Logic. My Master’s thesis, written at the ILLC under the supervision of Benno van den Berg, is available here, and it won the 2025 AILA 3+2 Award for the best Master’s thesis in Mathematical Logic.
At IRIF, I co-organize the QueeRIF meetings and the topos theory reading group.
Toposes with enough points as categories of étale spaces
Joint work with Sam van Gool and Jérémie Marquès.
Ultracategories via Kan extensions of relative monads
Joint work with Joshua Wrigley.
A category of arrow algebras for modified realizability
Theory and Applications of Categories, 44(4): 132-180, 2025
Programmation 1
S5 EIDD, Université Paris Cité
Lab classes. Lecturer: Pierre Charbit.
Topos theory
MasterMath, University of Utrecht
Exercise classes. Lecturer: Jaap van Oosten.
Where do ultracategories come from?
CT2025, Masaryk University
Introduction to elementary toposes
Théorie des topos, IRIF
Arrow algebras, algebraic structures for modified realizability
Realizability Workshop, CIRM, Marseille
Arrow algebras, algebraic structures for modified realizability
GT Sémantique, IRIF
A gentle introduction to categorical realizability
Séminaire des membres non-permanents, IRIF
Triposes and toposes via arrow algebras
Categorical Logic and Higher Categories, University of Manchester
Triposes and toposes through arrow algebras
Dutch Categories And Types Seminar, University of Leiden